Results 31 to 40 of about 4,951 (270)

Bayesian inference of biochemical kinetic parameters using the linear noise approximation [PDF]

open access: yes, 2009
Background Fluorescent and luminescent gene reporters allow us to dynamically quantify changes in molecular species concentration over time on the single cell level.
David A Rand   +14 more
core   +1 more source

Diophantine Approximation with Algebraic Points of Bounded Degree [PDF]

open access: yes, 2000
In this paper, we extend Schmidt's subspace theorem to the approximation of algebraic numbers by algebraic points of bounded ...
Wang, Julie Tzu-Yueh, Ru, Min
core   +1 more source

On simultaneous approximation to a real number and its cube by rational numbers [PDF]

open access: yes, 2010
One of the fundamental problems in Diophantine approximation is approximation to real numbers by algebraic numbers of bounded degree. In 1969, H. Davenport and W. M. Schmidt developed a new method to approach the problem. This method combines a result on
Lozier, Stephane
core   +3 more sources

Do algebraic numbers follow Khinchin's law? [PDF]

open access: yes, 2021
This paper argues that the distribution of the coefficients of the regular continued fraction should be considered for each algebraic number of degree >2 separately.
Müller, Karsten   +3 more
core  

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

open access: yesInternational Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam   +2 more
wiley   +1 more source

Adaptive Observer for Coupled Wave PDE and Infinite ODE With Sampled Data and Unknown Input: Application to Brain Hemodynamics Estimation

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This article proposes a convergent adaptive observer for a damped wave PDE and an infinite‐dimensional ODE coupled in cascade using sampled‐in‐space ODE state measurements. The proposed observer estimates the distributed states of the PDE and ODE along with unknown PDE parameters and spatial input.
Zehor Belkhatir   +2 more
wiley   +1 more source

Approximation to Complex numbers by certain biquadratic numbers [PDF]

open access: yes, 1975
A result of Davenport and Schmidt related to Wirsing's problem is generalized so that complex numbers are approximated using the algebraic integers T from the field, Q((−D)12), together with numbers of degree two over T.
Hightower, Collin J.
core   +1 more source

On geometry of numbers and uniform rational approximation to the Veronese curve [PDF]

open access: yes, 2021
© 2021, Akadémiai Kiadó, Budapest, Hungary.Consider the classical problem of rational simultaneous approximation to a point in Rn. The optimal lower bound on the gap between the induced ordinary and uniform approximation exponents has been established by
Schleischitz, Johannes
core   +1 more source

Observer‐Based Adaptive Event‐Triggered Tracking Control for Fuzzy TS Systems With Premise Mismatch

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This paper presents an adaptive logistic event‐triggered observer‐based tracking controller for Takagi‐Sugeno fuzzy systems under constrained inputs and network delays. Leveraging a hybrid LMI and Secretary Bird Optimization approach, this strategy significantly minimizes communication overhead and computational burden while ensuring optimal reference ...
Oussama Djadane   +3 more
wiley   +1 more source

Measures of algebraic approximation to Markoff extremal numbers [PDF]

open access: yesJournal of the London Mathematical Society, 2011
Let xi be a real number which is neither rational nor quadratic over Q. Based on work of Davenport and Schmidt, Bugeaud and Laurent have shown that, for any real number theta, there exist a constant c>0 and infinitely many non-zero polynomials P in Z[T] of degree at most 2 such that |theta-P(xi)| < c |P|^{-gamma} where gamma=(1+sqrt{5})/2 denotes
Damien Roy, Dmitrij Zelo
openaire   +2 more sources

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